Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 4: 612 - 619

DOI: https://doi.org/10.1007/s11464-006-0032-8

On value distribution of f(k) - afn

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  • Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China

Published date: 05 Dec 2006

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Abstract

The aim of this paper is to discuss the value distribution of the function f(k) - afn. Under the assumption that f(z) is a transcendental meromorphic function in the complex plane and a is a non-zero constant, it is proved that if n ≥ k + 3, then f(k) - afn has infinitely many zeros. The main result is obtained by using the Nevanlinna theory and the Clunie lemma of complex functions.

Cite this article

ZHANG Zhanliang . On value distribution of f(k) - afn[J]. Frontiers of Mathematics in China, 2006 , 1(4) : 612 -619 . DOI: 10.1007/s11464-006-0032-8

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